Barg et al. [1]} gave a construction of asymptotically good \(q\) -ary locally repairable codes with locality \(r\)  whose rate \(R\)  and relative distance \(\delta \)  satisfy
\(R \geqslant \frac{r}{r+1}\Big {(}1-\delta -\frac{3}{\sqrt{q}+1}\Big {)},\quad r=\sqrt{q}-1,\) 
